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Finding the Third Proportional to 14,147.50 and 31,119

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Solution

The third proportional to 14,147.50 and 31,119 is: 68,449.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,147.50 : 31,119 = 31,119 : x
  2. Step 2: Convert to fraction form
    14,147.50/31,119 = 31,119/x
  3. Step 3: Cross multiply
    14,147.50x = 31,119 × 31,119
  4. Step 4: Simplify right side
    14,147.50x = 968,392,161
  5. Step 5: Solve for x
    x = 968,392,161/14,147.50
  6. Step 6: Final answer
    x = 68,449.70

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.